Recommend a good book on complex analysis?

[wildman]

I am studying signal processing. I took a class last year but don't have a class now (it is very part time) and would like to do some self study. I did alright in my last class but feel that my appreciation of it would have been greater if I had a better background in complex analysis. Could someone recommend a good book on complex analysis for self study for someone with a degree in Electrical Engineering?

 

[mathwonk]

almost all books on complex analysis are good ones.

 

[HallsofIvy]

I personally like "An Invitation to Complex Analysis" by Ralph Boas.

 

[mathwonk]

my least favorite is the most famous, i.e. ahlfors. i like lang, cartan, hille, dettman?, silverman?, knopp, markushevich, shilov, redheffer, derrick, marsden, churchill,...

 

[MathematicalPhysicist]

mathwonk, did you read all of them?

you might be surprised but there's also a book from courant on complex analysis of one variable, it's basically notes from one of his pupils.

 

[quasar987]

Hurwitz-Courant?

 

[chaoseverlasting]

Im using a book by erwin kreyzig... its pretty good for self study...

 

[Werg22]

If there really is work by Courant on it, there should be no doubt in your mind that you're done looking.

 

[MathematicalPhysicist]

If there really is work by Courant on it, there should be no doubt in your mind that you're done looking.

well there is, and at tau univ library there are two copies, here's a link:
http://genesis.tau.ac.il/F/AJFL9TBR...umber=000061341&year=&volume=&sub_library=AS1

but I didn't like it very much.

 

[mathwonk]

i read about half of those and some others, including hormander , gunning and rossi on (several complex variables), kodaira and morrow, wells, griffiths and harris, chern, (complex manifolds),...

my point is that almost all books on complex analysis are well written. it is apparently just an easy subject to explain. but hille and cartan are better than average, and different from the standard ones.

 

[rbzima]

Tristan Needham "Visual Complex Analysis"

This is definitely a good book, especially if you like seeing math in it's pictorial form.

 

[wildman]

I bought a copy of Boas and am working my way through. It is terse, but good. It is a good self study book since there are detailed answers for the problem sets. Thanks all.